# ON THE COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF DEPENDENT RANDOM VARIABLES UNDER CONDITION OF WEIGHTED INTEGRABILITY

• Baek, Jong-Il ;
• Ko, Mi-Hwa ;
• Kim, Tae-Sung
• Published : 2008.07.31
• 89 9

#### Abstract

Under the condition of h-integrability and appropriate conditions on the array of weights, we establish complete convergence and strong law of large numbers for weighted sums of an array of dependent random variables.

#### Keywords

complete convergence;strong law of large numbers;h-integrability;asymptotically almost negative associated;negatively quadrant dependent${\varphi}$-mixing

#### References

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#### Cited by

1. Some Limit Theorems for Arrays of Rowwise Pairwise Negatively Quadratic Dependent Random Variables vol.59, pp.2, 2015, https://doi.org/10.1137/S0040585X97T987144
2. Some limit theorems for arrays of rowwise pairwise NQD random variables vol.59, pp.2, 2014, https://doi.org/10.4213/tvp4573
3. On convergence for sequences of pairwise negatively quadrant dependent random variables vol.59, pp.4, 2014, https://doi.org/10.1007/s10492-014-0067-1
4. Complete moment convergence of weighted sums for arrays of negatively dependent random variables and its applications vol.45, pp.11, 2016, https://doi.org/10.1080/03610926.2014.901365